Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes
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Publication:2142995
DOI10.1007/s00220-022-04365-2zbMath1490.60124arXiv2008.04177OpenAlexW4221129529MaRDI QIDQ2142995
Makoto Katori, Tomoyuki Shirai
Publication date: 30 May 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.04177
Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Elliptic functions and integrals (33E05) Kernel functions in one complex variable and applications (30C40)
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The conditional measures for the determinantal point process with the Bergman kernel ⋮ Expected number of zeros of random power series with finitely dependent Gaussian coefficients
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Cites Work
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- Correlation functions for zeros of a Gaussian power series and Pfaffians
- Agler-commutant lifting on an annulus
- Szegő kernel transformation law for proper holomorphic mappings
- Critical Ising interfaces in multiply-connected domains
- Hyperdeterminantal point processes
- The \(O(n)\) model on the annulus
- Hyperdeterminantal expressions for Jack functions of rectangular shapes
- Transformations of elliptic hypergeometric integrals
- The Gaussian free field and SLE\(_{4}\) on doubly connected domains
- From random matrices to random analytic functions
- SLE on doubly-connected domains and the winding of loop-erased random walks
- Quantum chaotic dynamics and random polynomials
- Random analytic chaotic eigenstates.
- Correspondence principle for the quantized annulus, Romanovski polynomials, and Morse potential
- Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
- Random point fields associated with certain Fredholm determinants. II: Fermion shifts and their ergodic and Gibbs properties
- Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
- Universality and scaling of correlations between zeros on complex manifolds
- Random complex zeroes. I: Asymptotic normality
- Elliptic functions and applications
- The Ahlfors map and Szegő kernel for an annulus
- Summation and transformation formulas for elliptic hypergeometric series.
- Stochastic Loewner evolution in doubly connected domains
- Simplicity of the Bergman, Szegö and Poisson kernel functions
- Two-dimensional elliptic determinantal point processes and related systems
- The hyperbolic-type point process
- On chordal and bilateral SLE in multiply connected domains
- Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
- Large deviations for the Fermion point process associated with the exponential kernel
- A Pfaffian-Hafnian analogue of Borchardt's identity
- Advanced determinant calculus: a complement
- On weighted kernels
- Schwarz--Christoffel Mapping of the Annulus
- Determinantal random point fields
- On the equivalence of two fundamental theta identities
- The Cauchy Transform, Potential Theory and Conformal Mapping
- Random Measures, Theory and Applications
- The permanental process
- Particles in a magnetic field and plasma analogies: doubly periodic boundary conditions
- Chaotic analytic zero points: exact statistics for those of a random spin state
- On the Szego Kernel of an Annulus
- How many zeros of a random polynomial are real?
- Crossing formulae for critical percolation in an annulus
- Distribution of roots of random polynomials
- Schwarz-Christoffel Mapping
- Liouville quantum gravity on the annulus
- Partial isometries, duality, and determinantal point processes
- Scaling limit for determinantal point processes on spheres
- Nonlinear random matrix statistics, symmetric functions and hyperdeterminants
- The 𝐻^{𝑝} spaces of an annulus
- On Villat’s Kernels and BMD Schwarz Kernels in Komatu-Loewner Equations
- REMARKS ON THE POSITIVITY OF α-DETERMINANTS
- Elliptic determinant evaluations and the Macdonald identities for affine root systems
- Theory of Reproducing Kernels
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